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Finding the Fourth Proportional to 1,220,978, 1,684,954.48 and 677,164.32

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Solution

The fourth proportional to 1,220,978, 1,684,954.48 and 677,164.32 is: 934,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,978 : 1,684,954.48 = 677,164.32 : x
  2. Step 2: Convert to fraction form
    1,220,978/1,684,954.48 = 677,164.32/x
  3. Step 3: Cross multiply
    1,220,978x = 1,684,954.48 × 677,164.32
  4. Step 4: Simplify right side
    1,220,978x = 1,140,991,054,680.15
  5. Step 5: Solve for x
    x = 1,140,991,054,680.15/1,220,978
  6. Step 6: Final answer
    x = 934,489.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.